Answer:
-0.9090... can be written as 
.
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100
.
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
Answer:
.00019
Step-by-step explanation:
.00019
first 0: tenths
2nd 0: hundredths
3rd 0: thousandths
4th 1: ten thousandths
5th 9: hundred thousandths
Answer:
21
Step-by-step explanation:
14+7=21
Answer:
You need to find the surface of each area and sum them up.
Step-by-step explanation:
You will need the surface area for each side.
So 2 up-bottom, 2 left-right and two front-back
2*(4*3) + 2*(2*4) + 2(3*2)
2*12 + 2*8 + 2*6
24 + 16 + 12
Total area = 52
